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Vl-make-hidden-variables-for-portdecls

(vl-make-hidden-variables-for-portdecls x) maps vl-make-hidden-variable-for-portdecl across a list.

Signature

(vl-make-hidden-variables-for-portdecls x) → vars

Arguments

x — Guard (vl-portdecllist-p x).

Returns

vars — Type (vl-vardecllist-p vars).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-make-hidden-variables-for-portdecls-exec

(defun vl-make-hidden-variables-for-portdecls-exec (x acc)
  (declare (xargs :guard (vl-portdecllist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-make-hidden-variables-for-portdecls-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-make-hidden-variables-for-portdecls-exec
             (cdr x)
             (cons (vl-make-hidden-variable-for-portdecl (car x))
                   acc))
      acc)))

Function: vl-make-hidden-variables-for-portdecls-nrev

(defun vl-make-hidden-variables-for-portdecls-nrev (x nrev)
 (declare (xargs :stobjs (nrev)))
 (declare (xargs :guard (vl-portdecllist-p x)))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-make-hidden-variables-for-portdecls-nrev))
  (declare (ignorable __function__))
  (if (atom x)
      (nrev-fix nrev)
   (let
    ((nrev (nrev-push (vl-make-hidden-variable-for-portdecl (car x))
                      nrev)))
    (vl-make-hidden-variables-for-portdecls-nrev (cdr x)
                                                 nrev)))))

Function: vl-make-hidden-variables-for-portdecls

(defun vl-make-hidden-variables-for-portdecls (x)
 (declare (xargs :guard (vl-portdecllist-p x)))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-make-hidden-variables-for-portdecls))
  (declare (ignorable __function__))
  (mbe
    :logic
    (if (consp x)
        (cons (vl-make-hidden-variable-for-portdecl (car x))
              (vl-make-hidden-variables-for-portdecls (cdr x)))
      nil)
    :exec
    (if (atom x)
        nil
      (with-local-nrev
           (vl-make-hidden-variables-for-portdecls-nrev x nrev))))))

Theorem: vl-vardecllist-p-of-vl-make-hidden-variables-for-portdecls

(defthm vl-vardecllist-p-of-vl-make-hidden-variables-for-portdecls
  (b* ((vars (vl-make-hidden-variables-for-portdecls x)))
    (vl-vardecllist-p vars))
  :rule-classes :rewrite)

Theorem: vl-make-hidden-variables-for-portdecls-of-update-nth

(defthm vl-make-hidden-variables-for-portdecls-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
     (vl-make-hidden-variables-for-portdecls
          (update-nth acl2::n acl2::v acl2::x))
     (update-nth acl2::n
                 (vl-make-hidden-variable-for-portdecl acl2::v)
                 (vl-make-hidden-variables-for-portdecls acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: vl-make-hidden-variables-for-portdecls-of-revappend

(defthm vl-make-hidden-variables-for-portdecls-of-revappend
  (equal
       (vl-make-hidden-variables-for-portdecls
            (revappend acl2::x acl2::y))
       (revappend (vl-make-hidden-variables-for-portdecls acl2::x)
                  (vl-make-hidden-variables-for-portdecls acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-make-hidden-variables-for-portdecls

(defthm nthcdr-of-vl-make-hidden-variables-for-portdecls
 (equal
  (nthcdr acl2::n
          (vl-make-hidden-variables-for-portdecls acl2::x))
  (vl-make-hidden-variables-for-portdecls (nthcdr acl2::n acl2::x)))
 :rule-classes ((:rewrite)))

Theorem: nth-of-vl-make-hidden-variables-for-portdecls

(defthm nth-of-vl-make-hidden-variables-for-portdecls
 (equal
  (nth acl2::n
       (vl-make-hidden-variables-for-portdecls acl2::x))
  (and
      (< (nfix acl2::n) (len acl2::x))
      (vl-make-hidden-variable-for-portdecl (nth acl2::n acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: vl-make-hidden-variables-for-portdecls-nrev-removal

(defthm vl-make-hidden-variables-for-portdecls-nrev-removal
  (equal (vl-make-hidden-variables-for-portdecls-nrev acl2::x nrev)
         (append nrev
                 (vl-make-hidden-variables-for-portdecls acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-make-hidden-variables-for-portdecls-exec-removal

(defthm vl-make-hidden-variables-for-portdecls-exec-removal
 (equal
     (vl-make-hidden-variables-for-portdecls-exec acl2::x acl2::acc)
     (revappend (vl-make-hidden-variables-for-portdecls acl2::x)
                acl2::acc))
 :rule-classes ((:rewrite)))

Theorem: vl-make-hidden-variables-for-portdecls-of-take

(defthm vl-make-hidden-variables-for-portdecls-of-take
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
     (vl-make-hidden-variables-for-portdecls (take acl2::n acl2::x))
     (take acl2::n
           (vl-make-hidden-variables-for-portdecls acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-make-hidden-variables-for-portdecls

(defthm
   set-equiv-congruence-over-vl-make-hidden-variables-for-portdecls
  (implies
       (set-equiv acl2::x acl2::y)
       (set-equiv (vl-make-hidden-variables-for-portdecls acl2::x)
                  (vl-make-hidden-variables-for-portdecls acl2::y)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-make-hidden-variables-for-portdecls-when-subsetp

(defthm
     subsetp-of-vl-make-hidden-variables-for-portdecls-when-subsetp
  (implies
       (subsetp acl2::x acl2::y)
       (subsetp (vl-make-hidden-variables-for-portdecls acl2::x)
                (vl-make-hidden-variables-for-portdecls acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-make-hidden-variable-for-portdecl-in-vl-make-hidden-variables-for-portdecls

(defthm
 member-of-vl-make-hidden-variable-for-portdecl-in-vl-make-hidden-variables-for-portdecls
 (implies (member acl2::k acl2::x)
          (member (vl-make-hidden-variable-for-portdecl acl2::k)
                  (vl-make-hidden-variables-for-portdecls acl2::x)))
 :rule-classes ((:rewrite)))

Theorem: vl-make-hidden-variables-for-portdecls-of-rev

(defthm vl-make-hidden-variables-for-portdecls-of-rev
  (equal (vl-make-hidden-variables-for-portdecls (rev acl2::x))
         (rev (vl-make-hidden-variables-for-portdecls acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-make-hidden-variables-for-portdecls-of-list-fix

(defthm vl-make-hidden-variables-for-portdecls-of-list-fix
  (equal (vl-make-hidden-variables-for-portdecls (list-fix acl2::x))
         (vl-make-hidden-variables-for-portdecls acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-make-hidden-variables-for-portdecls-of-append

(defthm vl-make-hidden-variables-for-portdecls-of-append
 (equal
   (vl-make-hidden-variables-for-portdecls (append acl2::a acl2::b))
   (append (vl-make-hidden-variables-for-portdecls acl2::a)
           (vl-make-hidden-variables-for-portdecls acl2::b)))
 :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-make-hidden-variables-for-portdecls

(defthm cdr-of-vl-make-hidden-variables-for-portdecls
  (equal (cdr (vl-make-hidden-variables-for-portdecls acl2::x))
         (vl-make-hidden-variables-for-portdecls (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-make-hidden-variables-for-portdecls

(defthm car-of-vl-make-hidden-variables-for-portdecls
  (equal (car (vl-make-hidden-variables-for-portdecls acl2::x))
         (and (consp acl2::x)
              (vl-make-hidden-variable-for-portdecl (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-make-hidden-variables-for-portdecls-under-iff

(defthm vl-make-hidden-variables-for-portdecls-under-iff
  (iff (vl-make-hidden-variables-for-portdecls acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-make-hidden-variables-for-portdecls

(defthm consp-of-vl-make-hidden-variables-for-portdecls
  (equal (consp (vl-make-hidden-variables-for-portdecls acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-make-hidden-variables-for-portdecls

(defthm len-of-vl-make-hidden-variables-for-portdecls
  (equal (len (vl-make-hidden-variables-for-portdecls acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-make-hidden-variables-for-portdecls

(defthm true-listp-of-vl-make-hidden-variables-for-portdecls
  (true-listp (vl-make-hidden-variables-for-portdecls acl2::x))
  :rule-classes :type-prescription)

Theorem: vl-make-hidden-variables-for-portdecls-when-not-consp

(defthm vl-make-hidden-variables-for-portdecls-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-make-hidden-variables-for-portdecls acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-make-hidden-variables-for-portdecls-of-cons

(defthm vl-make-hidden-variables-for-portdecls-of-cons
 (equal
     (vl-make-hidden-variables-for-portdecls (cons acl2::a acl2::b))
     (cons (vl-make-hidden-variable-for-portdecl acl2::a)
           (vl-make-hidden-variables-for-portdecls acl2::b)))
 :rule-classes ((:rewrite)))